On certain vanishing identities for Gromov-Witten invariants

DOI10.1090/S0002-9947-2011-05091-9zbMath1221.53123arXiv0805.0800OpenAlexW1991544716MaRDI QIDQ3004358

Xiaobo Liu

Publication date: 1 June 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0800

zbMATH Keywords

genusGromov-Witten invariantsummation range

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (2)

Universal equations for higher genus Gromov-Witten invariants from Hodge integrals ⋮ New topological recursion relations

Cites Work

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• A proof of the Faber intersection number conjecture
• A genus-3 topological recursion relation
• Quantum cohomology at higher genus: topological recursion relations and Virasoro conditions
• The intrinsic normal cone
• Virasoro constraints for quantum cohomology
• Quantum product on the big phase space and the Virasoro conjecture
• Hodge integrals and Gromov-Witten theory
• New topological recursion relations
• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds

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